First slide

KVL

Question

In the circuit shown in figure, potential difference between point A and B is 16 V. Find the current passing through $2 Ω$ resistance.

Moderate

A

1.5 A
B

3.5 A
C

1.0 A
D

2.5 A

Solution

By applying KVL,
$\begin{array}{l} V_{A} - 4 I - 9 - I_{1} + 3 - 4 I = V_{B} \\ 16 = + 8 I + I_{1} - 6 \\ 8 I + I_{1} = 10 V \end{array}$ …..(i)
By applying KVL in loop $A^{'} B^{'} C^{'} D^{'} A^{'},$
$\begin{array}{l} - 9 - I_{1} + 2 (I - I_{1}) = 0 \\ - 3 I_{1} + 2 I = 9 \end{array}$ …..(ii)
By solving (i) and (ii) current in $2 Ω$ resistance is 3.5A.

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